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Profit And Loss

Aptitude ➤ Profit And Loss ➤ 1

1. Cost Price: The price at which an article is purchased, is called its cost price , abbreviated as C.P.

2. Selling Price: The price at which an article is sold, is called its selling price, abbreviated as S.P.

3. Profit Or Gain: If S.P. is greater than C.P., the seller is said to have a profit or Gain.

4. Loss: If S.P. is less than C.P., the seller is said to have incurred a loss.

5. Formulae:

i) Gain = SP - CP
ii) Loss = CP - SP
iii) Loss or Gain is always reckoned on CP.
iv) Gain % = (Gain X 100)/CP
v) Loss % = (Loss X 100)/CP
vi) SP = [(100+Gain%)/100] X CP
vii) SP = [(100-Loss%)/100] X CP
viii) CP = [100/(100+Gain%)] X SP
ix) CP = [100/(100-Loss%)] X SP
x) If an article is sold at a gain of say , 35 % , then SP = 135 % of CP
xi) If an article is sold at a loss of say , 35 % , then SP = 65 % of CP
xii) When a person sells two similar items , one at a gain of say , x % , and the other at a loss of x % , then the seller always incurs a loss given by :

Loss % = [(Common loss or gain %)/10]2
               = (x/10)2

xiii) If a trader professes to sell his goods at cost price , but uses false waits, then

Gain % = [Error/(True Value - Error)] X 100 %

Question 1
Q1.  A shopkeeper bought 30 kg of rice at the rate of Rs. 70 per kg and 20 kg of rice at the rate of Rs. 70.75 per kg. If he mixed the two brands of rice and sold the mixture at Rs. 80.50 per kg, his gain is :
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